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Finding the Fourth Proportional to 548.94, 823.76 and 354.08

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Solution

The fourth proportional to 548.94, 823.76 and 354.08 is: 531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.94 : 823.76 = 354.08 : x
  2. Step 2: Convert to fraction form
    548.94/823.76 = 354.08/x
  3. Step 3: Cross multiply
    548.94x = 823.76 × 354.08
  4. Step 4: Simplify right side
    548.94x = 291,676.94
  5. Step 5: Solve for x
    x = 291,676.94/548.94
  6. Step 6: Final answer
    x = 531.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.